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Finding the Third Proportional to 140,799 and 219,838.50

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Solution

The third proportional to 140,799 and 219,838.50 is: 343,247.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,799 : 219,838.50 = 219,838.50 : x
  2. Step 2: Convert to fraction form
    140,799/219,838.50 = 219,838.50/x
  3. Step 3: Cross multiply
    140,799x = 219,838.50 × 219,838.50
  4. Step 4: Simplify right side
    140,799x = 48,328,966,082.25
  5. Step 5: Solve for x
    x = 48,328,966,082.25/140,799
  6. Step 6: Final answer
    x = 343,247.94

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.